Turbulent threshold for continuum Calogero-Moser models

DOI10.2140/paa.2024.6.941MaRDI QIDQ6661618

James David Hogan, Matthew Kowalski

Publication date: 13 January 2025

Published in: Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

solitonorbital stabilityLax pairexplicit formulaNLSenergy cascadecompletely integrabledispersive decayHardy-SobolevCalogero-Moser derivative nonlinear Schrödinger equationCMDNLS

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Local well-posedness for the nonlocal nonlinear Schrödinger equation below the energy space
• Integrable hydrodynamics of Calogero–Sutherland model: bidirectional Benjamin–Ono equation
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• Lyapunov stability of ground states of nonlinear dispersive evolution equations
• Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• An explicit formula for the cubic Szegő equation
• Instability of solitons for the critical generalized Korteweg-de Vries equation
• An explicit formula for the Benjamin-Ono equation
• On the global well-posedness of the Calogero-Sutherland derivative nonlinear Schr\"odinger equation
• The intertwined derivative Schrödinger system of Calogero-Moser-Sutherland type
• The cubic Szegő equation on the real line: explicit formula and well-posedness on the Hardy class
• The Calogero-Moser derivative nonlinear Schrödinger equation

This page was built for publication: Turbulent threshold for continuum Calogero-Moser models